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Finding the Third Proportional to 306,480,442 and 475,869,370

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Solution

The third proportional to 306,480,442 and 475,869,370 is: 738,878,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,480,442 : 475,869,370 = 475,869,370 : x
  2. Step 2: Convert to fraction form
    306,480,442/475,869,370 = 475,869,370/x
  3. Step 3: Cross multiply
    306,480,442x = 475,869,370 × 475,869,370
  4. Step 4: Simplify right side
    306,480,442x = 226,451,657,304,196,896
  5. Step 5: Solve for x
    x = 226,451,657,304,196,896/306,480,442
  6. Step 6: Final answer
    x = 738,878,004.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.